the image (new coordinate) after the translation is (-2.5, 9.8)
How to find the new coordinate by using the given rule?
Here we have a rule (also called a transformation or an operator) that works as:
T(x, y) = (x - 7.5, y + 6.8)
So we decrease the x-value by 7.5 and increase the y-value by 6.8. This is a translation of 7.5 units to the left and 6.8 units upwards.
Now, our point is (5, 3), if we apply that transformation we will get:
T(5, 3) = (5 - 7.5, 3 + 6.8) = (-2.5, 9.8)
That is the image after the translation.
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100 POINTS IF YOU CAN ANSWER THIS
If the preferred vehicle is a sports car, what is the conditional distribution for females?
(Table Included)
A. 35.6%
B. 54.2%
C. 0.02%
D. 44.3%
E. 62.6%
Answer:
I think 0.02, or B
Step-by-step explanation:
because it's the smallest of the plot and 4 of 219
4/219= 0.0182......
rounded up makes it 0.02
If the triangle equals 12cm in perimeter, what's the equation for the triangle with 5cm,3cm, and a missing number labeled as P
if 4 -letterwords'' are formed using the letters a, b, c, d, e, f, g, how many such words are possible for each of the following conditions:(a) no condition is imposed.
The number of 4-letter words that can be formed without any condition imposed is 8,064.
To determine the number of 4-letter words that can be formed without any conditions, we can use the concept of permutations. Since we have 8 options (a, b, c, d, e, f, g) for each letter position, we can multiply the number of options for each position to find the total number of possibilities.
For the first letter position, we have 8 options to choose from. Similarly, for the second, third, and fourth positions, we also have 8 options each. Therefore, the total number of possibilities is:
8 options for the first position × 8 options for the second position × 8 options for the third position × 8 options for the fourth position = 8 × 8 × 8 × 8 = 8,064.
Hence, there are 8,064 possible 4-letter words that can be formed without any conditions imposed.
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What is the graph of the function f(x) = the quantity of x squared minus 7 x plus 12, all over x minus 3 ? (1 point);
Answer:
pic is answer
Step-by-step explanation:
Help pls help I need yelp
Answer:
A.
Step-by-step explanation:
Hope this helps.
pls give me brainiliest
What is a billion billion in exponential notation.
Answer:
Step-by-step explanation:
A farmer goes to the market to sell a box of eggs. A clumsy horse steps on the box of eggs and breaks a lot of them. The horse’s rider offers to pay for all of the eggs in the box and asks the farmer how many eggs there were. The farmer does not remember the exact number, but when she took them out of the box two at a time, there was 1 egg left. The same thing happened when she took them out three, four, five and six eggs at a time, but when she took them out 7 at a time, there were no eggs left
The smallest number of eggs that could have been in the box is 1134
The problem is to find the smallest number of eggs that could have been in the box, given the remainder when taking them out by different numbers. Here are the moves toward tackling it:
Allow n to be the quantity of eggs in the container. Then we have the accompanying arrangement of congruences:
n ≡ 1 (mod 2)
n ≡ 1 (mod 3)
n ≡ 1 (mod 4)
n ≡ 1 (mod 5)
n ≡ 1 (mod 6)
n ≡ 0 (mod 7)
For this problem, we have k = 6 k = 6, a i = {1,1,1,1,1,0} a_i = {1,1,1,1,1,0}, M i = {1260,840,630,504,420,720} M_i = {1260,840,630,504,420,720}, and y i = {−1,−2,−3,-4,-5,-6} y_i = {-1,-2,-3,-4,-5,-6}.
Plugging these values into the formula and simplifying modulo 5040, we get:
n = (−1260 + −1680 + −1890 + −2016 + −2100 + 0) mod 5040
n = (−8946) mod 5040
n = (−3906) mod 5040
n = 1134 mod 5040
Therefore, the smallest number of eggs that could have been in the box is 1134
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Let f(p) be the average number of days a house stays on the market before being sold for price p in $1,000s. Which statement best describes the meaning of f(250)?
Answer:
Hey There!! The Correct answer C: ) is the average number of days a house stays on the market before being sold for price p in $1,000s
A little more clearer explanation:
p is the price in $1000s, and
f(p) is the number of days before its sold for p
Hence, f(250) would be the number of days before its sold for 250,000 (since p is in $1000s)
Answer choice C is the correct one.
Hope It Helped!~ ♡
ItsNobody~ ☆
Answer: C
Step-by-step explanation: This is the average number of days the house stayed on the market before being sold for $250,000
Please help! 10 points
Answer:
Doubt that he is.
Step-by-step explanation:
6 days x $20 = $120
8 days x $15 = $120
So, he'd pay the same amount for 8 days as he would for 6 days. I think it's better to stay for 8 days if he were to spend $120 anyway.
what is the mass to the nearest tenth of a gram of 3.50 moles of sodium metal?
Answer:
The mass of 3.5 moles of Ca (Sodium) is 140 g to two significant figures.
A house purchased for $216,500 gains 2% of its value every year. If this growth rate continues, in how many years will the house be worth twice its original value
Answer: 36 years
Step-by-step explanation:
You can use the Rule of 72 to calculate how long it might take the house to double in value.
The Rule of 72 works by dividing 72 by the interest rate as a whole number and the result will be a rough estimate of the time in years it will take for the investment to double in size:
= 72 / 2
= 36 years
gender of the manatees could be an important variable when studying manatees. what type of variable is gender? group of answer choices categorical quantitative
The gender of the manatees could be an important variable when studying manatees. Gender is an a. categorical variable.
An example of a categorical variable is one that divides data into categories. Here, the categorical variable represents a particular gender while studying manatees. Rather than using numerical values, categorical variables are typically expressed by labels or terms like owns or rents. Researchers may more readily identify and analyse data by employing categorical variables. Thus, a categorical variable here is gender.
Variables that typically fall into separate categories or groups are known as categorical variables, and they cannot be quantified on a continuous scale. Gender is a categorical variable in study of manatees because it may be categorised into distinct groups, such as male or female, without the need of quantitative measures.
Complete Question:
Gender of the manatees could be an important variable when studying manatees. what type of variable is gender?
a. Categorical
B. Quantitative
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Use the savings plan formula to answer the following question. A
friend has an IRA with an APR of 7.25% She started the IRA at age
20 and deposits $35 per month. How much will her IRA contain wh
To calculate the amount of money a friend's IRA will contain at a given age, we can use the savings plan formula. In this scenario, the IRA has an annual percentage rate (APR) of 7.25%, and monthly deposits of $35 are made.
The objective is to determine the value of the IRA at a specific age. The savings plan formula allows us to calculate the future value of an investment based on regular contributions and a fixed interest rate. Let's break down the information given:
- APR: The IRA has an annual percentage rate of 7.25%, which is the interest rate applied to the account.
- Monthly deposits: A friend makes deposits of $35 per month into the IRA.
- Age: We want to determine the value of the IRA at a specific age.
To calculate the value of the IRA at a given age, we need to consider the time period and the interest earned on the deposits. The savings plan formula is:
FV = P * ((1 + r)^n - 1) / r
Where:
FV = Future value of the IRA
P = Monthly deposit amount ($35)
r = Monthly interest rate (APR divided by 12)
n = Number of months from the start of the IRA until the desired age
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Consider the following differential equations. Determine if the Existence and Uniqueness Theorem does or does not guarantee existence and uniqueness of a solution of each of the following initial value problems.{eq}\begin{array}{l}{\frac{d y}{d x}=\sqrt{x-y}, \quad y(2)=2} \\ {\frac{d y}{d x}=\sqrt{x-y}, \quad y(2)=1} \\ {y \frac{d y}{d x}=x-1, \quad y(0)=1} \\ {y \frac{d y}{d x}=x-1, \quad y(1)=0}\end{array} {/eq}
Existence and Uniqueness Theorem the existence and uniqueness theorem is the most critical theorem in differential calculus. The theorem addresses how the existence and uniqueness of a solution to a first-order differential equation are affected by conditions such as continuity or Lipschitz continuity.
Determine if the existence and uniqueness theorem does or does not guarantee the existence and uniqueness of a solution to each of the following initial value problems.
1. The differential equation is
\(\frac{dy}{dx}=\sqrt{x-y}\)
The condition of the theorem is fulfilled: The differential equation is continuous and the partial derivative \(\frac{\partial f}{\partial y}=\frac{-1}{2\sqrt{x-y}}\) is continuous.
Therefore, the theorem guarantees the existence and uniqueness of the solution to the initial value problem.
2. The differential equation is
\(\frac{dy}{dx}=\sqrt{x-y}\)
The condition of the theorem is not fulfilled.
\(\frac{\partial f}{\partial y}=\frac{-1}{2\sqrt{x-y}}\) is not defined at \(x=y .\)
Therefore, the theorem does not guarantee the existence and uniqueness of the solution to the initial value problem.
3. The differential equation is \(y\frac{dy}{dx}=x-1\) The condition of the theorem is fulfilled: The differential equation is continuous and the partial derivative \(\frac{\partial f}{\partial y}=y\) is continuous.
Therefore, the theorem guarantees the existence and uniqueness of the solution to the initial value problem.
4. The differential equation is
\(y\frac{dy}{dx}=x-1\)
The condition of the theorem is not fulfilled \(\frac{\partial f}{\partial y}=y\) and is not defined at y=0
Therefore, the theorem does not guarantee the existence and uniqueness of the solution to the initial value problem.
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The hair color of the players on a tennis team would be considered: a. Ratio data b. Ordinal data c. Nominal data d. Interval data
The hair color of the players on a tennis team would be considered nominal data. Therefore, the most appropriate answer is option (c): Nominal data.
In data classification, there are four main levels of measurement: nominal, ordinal, interval, and ratio. Nominal data is the lowest level of measurement and represents categories or labels that cannot be ranked or ordered. Hair color falls into this category as it represents different categories or labels such as blonde, brunette, red, etc. Nominal data does not have any inherent numerical value or order.
On the other hand, ordinal data represents categories that can be ordered or ranked but do not have a consistent interval between them. Interval and ratio data involve numerical values with a consistent interval and a true zero point, with ratio data having a meaningful zero point.
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solve for A'0 (A0−A0′)^−γ=βR(RA0′)^−γ
The solution for A'0 is as follows:
A'0 = (βR^(-1/γ) / (1 - R^(-1/γ)))^(1/γ)
We start with the equation (A0 - A0')^(-γ) = βR(RA0')^(-γ). To solve for A'0, we isolate it on one side of the equation.
First, we raise both sides to the power of -1/γ, which gives us (A0 - A0') = (βR(RA0'))^(1/γ).
Next, we rearrange the equation to isolate A'0 by subtracting A0 from both sides, resulting in -A0' = (βR(RA0'))^(1/γ) - A0.
Finally, we multiply both sides by -1, giving us A'0 = -((βR(RA0'))^(1/γ) - A0).
Simplifying further, we get A'0 = (βR^(-1/γ) / (1 - R^(-1/γ)))^(1/γ).
Complete question - Solve for A'0, given the equation (A0 - A0')^(-γ) = βR(RA0')^(-γ),
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describe the behavoir of the markov chain with starting vector [1,0,0]. are there any stable vectors
The behavior of the Markov chain with starting vector [1,0,0] can be analyzed by calculating the transition probabilities and the resulting probability distribution at each step. The existence of stable vectors depends on the limiting probabilities, which can be calculated to determine if there is a unique stable vector.
A Markov chain is a stochastic process that models a system that transitions from one state to another based on some predefined probabilities. In this case, the starting vector [1,0,0] represents the probability distribution of the system being in each state at the beginning of the process. The first element of the vector represents the probability of being in state 1, the second element represents the probability of being in state 2, and the third element represents the probability of being in state 3.
As the Markov chain progresses, the system transitions from one state to another based on the transition probabilities. The behavior of the Markov chain with starting vector [1,0,0] can be analyzed by calculating the transition probabilities and the resulting probability distribution at each step.
There may or may not be stable vectors in the Markov chain. A stable vector is a probability distribution that remains constant over time, regardless of the starting vector. In other words, if the Markov chain starts from any initial state, it will eventually converge to the stable vector.
To determine if there are any stable vectors in the Markov chain, we need to calculate the limiting probabilities for each state. If the limiting probabilities exist and are the same for all initial vectors, then there is a unique stable vector. If the limiting probabilities do not exist or are different for different initial vectors, then there is no stable vector.
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A bathtub can hold 80 gallons of water. The faucet flows at a rate of 4 gallons per minute. What percentage of the tub will be filled after 6 minutes? *
convert the binary expansion of each of the following integers to a hexadecimal hexadecimal notation of (1111 0110)2 is ( (click to select) )16.
We have to convert the given binary expansion to hexadecimal notation of (1111 0110)2. The steps to convert binary to hexadecimal are given below.
Step 1: Divide the given binary number into groups of four digits from right to left. Write 0s to the left, if there is any binary digit left alone.Example: (1111 0110)2 can be written as (1111 0110)2 = 1111 0110
Step 2: Assign hexadecimal digits for each group of four digits from right to left. The correspondence of binary to hexadecimal values is as follows:Binary Decimal Hexadecimal0000 0 0001 1 1000 8 81001 9 9A1010 10 A1011 11 B1100 12 C1101 13 D1110 14 E1111 15 FExample: (1111 0110)2 can be written as (1111 0110)2 = F6
Step 3: The hexadecimal equivalent of the given binary is (1111 0110)2 = F6.Conclusion:Therefore, the hexadecimal notation of (1111 0110)2 is F6.
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did i do it correctly if i didnt can u please answer it correctly and tell me how u did it
Answer:
You have done it wrong.
Step-by-step explanation:
4 3/7 - 5/7 = 3 5/7
We can change the equation to a improper fraction first.
4 3/7 = 4*7+3 = 31/7
31-5 = 26
Therefore the answer is 26/7.
simplify
The answer is equal to 26/7, or 21/7 + 5/7
Which is 3 5/7
Sorry but you did it wrong...
First you gonna make 4\(\frac{3}{7}\) become 3\(\frac{10}{7}\) ( 4 -> 3 \(\frac{7}{7}\) - *you need to make it become the same denominator)
Lets do it: 3\(\frac{10}{7}\) - \(\frac{5}{7}\) = ...
Because in \(\frac{5}{7}\) doesn't have a whole number so you will still keep 3
3\(\frac{10}{7}\) - \(\frac{5}{7}\) = 3.....
Next, you gonna subtract \(\frac{10}{7}\) - \(\frac{5}{7}\) = \(\frac{10-5}{7}\) = \(\frac{5}{7}\)
3\(\frac{10}{7}\) - \(\frac{5}{7}\) = 3\(\frac{5}{7}\)
SO the answer for 4\(\frac{3}{7}\) - \(\frac{5}{7}\) is 3\(\frac{5}{7}\)
Hope it helps, Studywell!
Terry rides his bicycle mile in
6 minutes. If he continues at this rate,
how far will he travel in 21 minutes?
Answer:
3.5 miles assuming terry rode his bike 1 mile in 6 minutes
Step-by-step explanation:
In the U.S.A., the symbol 5/2 means the 5th month, 2nd day, or May 2. But in England, 5/2 means the fifth day, 2nd month, or February 5. How many days of the year each have the same symbol in both the U.S. and England
In both the U.S.A. and England, there are only two days of the year that share the same symbol: May 2 (5/2) and February 5 (5/2).
In the United States, the symbol 5/2 is interpreted as the 5th month and 2nd day, representing May 2. On the other hand, in England, 5/2 denotes the 5th day and 2nd month, indicating February 5. To determine how many days of the year have the same symbol in both countries, we need to find the dates that match.
In the U.S., there are 12 months, so there are 12 possible combinations with 5 as the month. However, only May 2 (5/2) coincides with the English interpretation.
In England, there are 31 days in January, so there is no match with the American format. However, in February, there are 28 days (or 29 in a leap year), and February 5 (5/2) aligns with the American interpretation.
Hence, there are only two days of the year that share the same symbol in both the U.S. and England: May 2 (5/2) and February 5 (5/2).
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Which measurement best describe the distance between Phenix city and Huntsville
The best measurement to describe the distance between Phenix City and Huntsville would depend on whether the context requires a straight-line distance (Euclidean) or the actual travel distance (geodesic) between the two cities.
The distance between two locations can be measured using different methods, depending on the context and purpose of the measurement.
If we consider the distance in a straight line, disregarding any obstacles or terrain features, the Euclidean distance would be suitable. The Euclidean distance uses a straight line between two points and is calculated using the Pythagorean theorem in a two-dimensional space. However, this method does not take into account the actual road network or geographical obstacles that may affect travel distance.
On the other hand, if we consider the actual distance traveled along the road network or the curved surface of the Earth, the geodesic distance would be more appropriate. The geodesic distance measures the shortest path between two points on a curved surface, such as the Earth, accounting for its curvature.
This method takes into consideration the actual distance traveled along roads or the Earth's surface, providing a more accurate representation of the distance between two locations.
Therefore, the best measurement to describe the distance between Phenix City and Huntsville would depend on whether the context requires a straight-line distance (Euclidean) or the actual travel distance (geodesic) between the two cities.
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a standard number cube has six labeled sides labeled 1-6. think about rolling a number cube one time. why is it just as likely that the cube will show and even number as an odd number
Answer:
This is because there are equal counts of both even and odd numbers
Step-by-step explanation:
Here in this question, we are concerned with stating the reason why it is likely that a standard number cube have the same probability for showing an even number as well as an odd number.
In the number cube, the odd numbers are 1,3 and 5. While the even numbers are 2,4 and 6.
From here, we can see that there are three set of each number types. What this automatically means is that the probability of selecting an even number will be equal to the probability of selecting an odd number. Thus, we can say that it is just as likely that the cube will show an even number as an odd number because each of the type of numbers have 3 values each.
For the function given below, find a formula for the Riemann sum obtained by dividing the interval [a,b] into n equal subintervals and using the right-hand endpoint for each ck. Then take a limit of this sum as n→[infinity] to calculate the area under the curve over [a,b]. f(x)=2x over the interval [2,6] Find a formula for the Riemann sum. Sn= The area under the curve over (2,6) is square units.
The formula for the Riemann sum for the function f(x) = 2x over the interval [2,6] with n equal subintervals and using the right-hand endpoints is Sn = 2 * ∑(i=1 to n) (2 + iΔx)Δx. The area under the curve over (2,6) is 28 square units.
To calculate the Riemann sum for the given function f(x) = 2x over the interval [2,6], we divide the interval into n equal subintervals of width Δx.
Since we are using the right-hand endpoint for each subinterval, the right-hand endpoint of the ith subinterval is given by xi = a + iΔx, where a is the lower limit of the interval (a = 2 in this case).
The height of each rectangle in the Riemann sum is given by the function evaluated at the right-hand endpoint, so the height of the ith rectangle is f(xi) = 2xi.
The width of each rectangle is Δx, which is equal to the width of each subinterval.
Therefore, the area of each rectangle is given by the product of the height and the width, which is 2xiΔx.
The Riemann sum Sn is obtained by summing the areas of all the rectangles, so we have:
Sn = 2 * ∑(i=1 to n) 2xiΔx
Since xi = a + iΔx = 2 + iΔx, we can substitute it into the formula:
Sn = 2 * ∑(i=1 to n) 2(2 + iΔx)Δx
Simplifying further, we obtain the formula for the Riemann sum:
Sn = 2 * ∑(i=1 to n) (4Δx + 2i(Δx)²)
Taking the limit of this Riemann sum as n approaches infinity will give us the exact area under the curve over the interval [2,6].
Taking the limit as n→∞ involves letting Δx approach zero, and the Riemann sum converges to the definite integral of the function over the interval [2,6].
Therefore, the area under the curve over (2,6) is 28 square units.
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A small airplane can hold 44 passengers. Fifteen passengers board the plane.
a. Identify an inequality that represents the additional number of passengers, p, that can board the plane.
Responses
15+p<4415+p<44
p−44≤15p minus 44 is less than or equal to 15
15+p≥4415 plus p is greater than or equal to 44
15+p≤4415 plus p is less than or equal to 44
Question 2
Solve the inequality.
The solution is
.
Question 3
b. Which best explains whether or not 30 more passengers can board the plane?
Responses
30 more passengers cannot board the plane. Only 29 more passengers can board the plane.
30 more passengers cannot board the , plane., Only 29 more passengers can board , the plane.
30 more passengers can board the plane. 44 more passengers can board the plane.
30 more passengers can board the , plane., 44 more passengers can board , the plane.
30 more passengers cannot board the plane. Only 15 more passengers can board the plane.
30 more passengers cannot board the , plane., Only 15 more passengers can board , the plane.
30 more passengers can board the plane. 59 more passengers can board the plane.
30 more passengers can board the , plane., 59 more passengers can board , the plane.
a. The inequality that represents the additional number of passengers, p, that can board the plane will be D. 15+p≤44 15 plus p is less than or equal to 44
b. The option that represents the people who can board the plane is A. 30 more passengers cannot board the plane. Only 29 more passengers can board the plane.
How to calculate the value?From the information, the small airplane can hold 44 passengers. Fifteen passengers board the plane.
Let P = those that can board the plane.
P + 15 ≤ 44
Collect like terms
P ≤ 44 - 15
P ≤ 29
The highest number of passengers that can enter the plane is 29.
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The bag contains green yellow and orange marbles. The ratio of green marbles to yellow marbles is 2 to 5. The ratio of yellow marbles to orange marbles is 3 to 4. What is the ratio of green marbles to orange marbles?
Answer:
2 to 4 or simplified 1 to 2
Step-by-step explanation:
There 2 green marbles and 4 orange marbles so the ratio is 2 to 4
You can simplify that down to 1 to 2
how to rewrite 11/12 in two different ways
Answer:
1) 33/36 = 11/12
2) 22/24 = 11/12
Step-by-step explanation:
Hope it helps you! Please give me Brainlest!
Step-by-step explanation:
As a decimal you divide 11 by 12 which is 0,916 (6 repeating)
now as a percent you multiply this decimal by 100 which is 91.6 (6 repeating)%
The Galois field GF(23) can be constructed as Z2 [x]/(x3+x+1).
(1) List all elements in GF(23)
(2) Compute (x2 + x)\times(x2 + x + 1)
The elements in GF(2^3) are {0, 1, x, x + 1, x^2, x^2 + 1, x^2 + x, x^2 + x + 1}, and (x^2 + x) * (x^2 + x + 1) in GF(2^3) simplifies to x.
To construct the Galois field GF(2^3), we consider the polynomial x^3 + x + 1 as an irreducible polynomial in Z2[x].
(1) To list all elements in GF(2^3), we can represent them as polynomials of degree 2 or lower in Z2[x]/(x^3 + x + 1). The elements are:
{0, 1, x, x + 1, x^2, x^2 + 1, x^2 + x, x^2 + x + 1}
(2) To compute (x^2 + x) * (x^2 + x + 1) in GF(2^3), we need to perform the multiplication using polynomial multiplication rules and reduce the result modulo (x^3 + x + 1).
(x^2 + x) * (x^2 + x + 1) = x^4 + x^3 + x^3 + x^2 + x^3 + x^2 + x^2 + x
= x^4 + (1 + 1 + 1)x^3 + (1 + 1 + 1)x^2 + x
= x^4 + x + x^2 + x
= x^4 + x^2 + 2x (in GF(2), 2 is equivalent to 0)
Next, we need to reduce the result modulo (x^3 + x + 1):
(x^4 + x^2 + 2x) mod (x^3 + x + 1) = (x^4 + x^2 + 2x) mod (x^3 + x + 1)
= (x^4 + x^2 + 2x) - (x^3 + x + 1)(x)
= x^4 + x^2 + 2x - x^4 - x^2 - x
= x
Therefore, (x^2 + x) * (x^2 + x + 1) in GF(2^3) is equivalent to x.
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this dot plot is not symmetric the data has two extreme values
what is the best measure of center for this dot plot
Answer: I believe your answer is the median.
Step-by-step explanation:
Answer:
C: median
hope this helps